Chapter 11.1, Problem 26PPS

To determine

To Find: To find the base and height of the given triangle.

Answer to Problem 26PPS

The answer is 12cm and 3cm.

Explanation of Solution

Given information: Given area of triangle is 49square feet

Formula used: Area of triangle $=\frac{1}{2}\times \text{base}\times \text{height}$

Calculation:

Let the height of the triangle is x then, base is $2x$

According to question.

  $\begin{array}{l}49=\frac{1}{2}\times x\times 2x\\ 49=x^2\\ x^2=49\\ x=\pm 7\\ \because \text{side}\text{cannot}\text{be}\text{negative}\\ \therefore x=7\end{array}$

Thus, the required height is 7feet.

And the base is $2\times 7=14$ feet

Hence, the required base and height of the triangle is 14feet and 7feet.